Answer the question asked. When necessary, round to the nearest hundredth.A twin-engined aircraft can fly 840 miles from city A to city B in 4 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?

A. 75 mph
B. 45 mph
C. 30 mph
D. 60 mph


Answer: B

Mathematics

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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 64 - x2 and the x-axis, with density ?(x) = 8x2

A.  = 0,  = 
B.  = 0,  = 
C.  = 0,  = 
D.  =  = 0

Mathematics

Solve the problem.When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by  where x is the time (sec) and h is the height (cm). Use the quadratic formula to estimate the time when the height is 5 cm. Round your answer to the nearest second.

A. 24 sec B. 31 sec C. 30 sec D. 28 sec

Mathematics

Find the exact value of y, or state that y is undefined.y = csc-1(-1)

A. ?
B. - 
C.
D. 2?

Mathematics

Evaluate the double integral ?  ?  for the given function f(x, y) and the region R. ?  f(x, y) = 6x + 12y; R is bounded by x = 1, x = 3, y = 0 and y = x + 1. ? 

A.
B.
C.
D.

Mathematics